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Suppose $f_{\alpha} : [0,1] \to [0,1],\:\: -1 < \alpha < \infty$ is given by

$$f_{\alpha} (x) = \frac{(\alpha +1)x}{\alpha x+1}$$

Then $f_{\alpha}$ is

1. A bijective (one-one and onto) function
2. A surjective (onto ) function
3. An injective (one-one) function
4. We cannot conclude about the type

recategorized | 21 views